Open-loop control of absolutely unstable domains

Benoît Pier (1, 2)

1 DAMTP - Department of Applied Mathematics and Theoretical Physics
2 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique

Spatially varying systems with a central absolutely unstable region are known to give rise to self-sustained finite-amplitude globally synchronized structures. The present investigation shows how such an intrinsic behaviour may be controlled by small-amplitude forcing applied upstream of the fully developed oscillations. This technique allows the tuning of the frequency of the entire system to any frequency in a wide range, exspending only an exponentially small power.

Mots clés: Absolute Instability; Self-Sustained Oscillations; Control

Domaines: Mécanique des fluides [physics.class-ph]

Benoît Pier. Open-loop control of absolutely unstable domains. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2003, 459, pp.1105-1115. ⟨10.1098/rspa.2002.1086⟩. ⟨hal-00120027⟩